Question

Two blocks are connected by a massless string over a pulley. Block 1 has mass mi=20kg and is on horizontal table Block 2 has toas my = 10kg and is on a ramp inclined at angle A = 30" The pulley has a mass M-15 kg and radius R = 20 and can be treated like a disk with uniform a distribution. The string never slips against the pulley. mi a) Supposem travels 4 m to the right when m2 reaches the bottom of the ramp. What is the angular speed of the pulley when my reaches the bottom of the ramp? The ramp and the table are frictionless and the system is initially at rest b) Let Tidenote the force of tension on mı and let 7, denote the force of tension on my Find the magnitude of T, and the magnitude of 7

Answer 1

we have mi=20kg, m2= lokg a 0 = 300 we have h mr =no e hallino = { ["0=300 l=40m Initially ma da H (say) h tm. @ Ineteal mechanical energy of the system Ei= ktit Yit kesit Uzit Kiepully, e =of might otmagh t Ei= might mage O

loren reaches bottom ma Ef= kelift Urg KEzftUstk Epulley, f. = time?+ might & malet magxo+& Iw? we have I- Mr2 Ef=kmiut might mallit į m (502) Elamitham -) ut might [re 220 = ce? =) Equating en and [Conservation of mechanical Energy agy Is mit moment malu -)ừ+ thigh mightm magh magh 62 mi 2 .p + u & mage 2 mit mat lo89.8x4 20 tot Is 2 le=3.23 ms ) ㅠ

o for mi a T 1 . TiE m, a mig IL Ti 온 pulley (Т. -17 ) = 14 - r- < W Ч: Hz лу = Т2 -ту ма [Yes) Кем. for me А) magino - Tz = mza Combining en 6 en 6, and I magdno ma т, а ри, а . magino а: mit Mat M а - 3) mu- а) - h, a: 6 - 13ч з ІТ, 26-139 Т2 = matre - Ma= 33. Бу , - 3.09